Bernstein-type operators on elliptic domain and their interpolation properties

• Autorzy: Iliyas Mohammad , Khan Asif , Mursaleen Mohammad

Identyfikatory

DOI

10.1515/dema-2022-0199

• Języki publikacji: EN

Abstrakty

EN

The aim of this article is to construct univariate Bernstein-type operators (BxmG)(x,z) and (BznG)(x,z), their products (PmnG)(x,z) , (QnmG)(x,z) , and their Boolean sums (SmnG)(x,z) , (TnmG)(x,z) on elliptic region, which interpolate the given real valued function G defined on elliptic region on its boundary. The bound of the remainders of each approximation formula of corresponding operators are computed with the help of Peano’s theorem and modulus of continuity, and the rate of convergence for functions of Lipschitz class is computed.

Słowa kluczowe

EN

Bernstein-type operators; elliptic domain; interpolation; product operators; Boolean sum operators; modulus of continuity; Peano’s theorem

PL

operatory typu Bernsteina; interpolacja; moduł ciągłości; twierdzenie Peana

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2023
• Tom: Vol. 56, nr 1
• Strony: art. no. 20220199
• Opis fizyczny: Bibliogr. 26 poz., rys.

Twórcy

autor

Iliyas Mohammad

• Departement of Mathematics, Aligarh Muslim University, Aligarh 202002, India

autor

Khan Asif

• Departement of Mathematics, Aligarh Muslim University, Aligarh 202002, India

autor

Mursaleen Mohammad

• Departement of Mathematics, Aligarh Muslim University, Aligarh 202002, India
• Department of Medical Research, China Medical University Hospital, China Medical University (Taiwan), Taichung, Taiwan

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025).